4 papers
Integrable motion of curves associated with the Fokas-Lenells equation and related spin system
R. Ramakrishnan, Sagardeep Talukdar, M. Lakshmanan +1
In this article, we study the gauge equivalence between the integrable Fokas- Lenells equation (FLE) and an associated spin equation through a gauge transformation and the zero cur…
Bright soliton interactions in the variable coefficient Fokas-Lenells equation, Conservation laws, Modulation instability and Soliton tunneling
Sagardeep Talukdar, R. Ramakrishnan, Sudipta Nandy +1
We present here a study of the bright soliton dynamics in an inhomogeneous fibre by means of variable coefficient Fokas-Lenells equation with time varying dispersion, nonlinearity…
Soliton Dynamics of a Gauged Fokas-Lenells Equation Under Varying Effects of Dispersion and Nonlinearity
Riki Dutta, Sagardeep Talukdar, Gautam K. Saharia +1
Davydova-Lashkin-Fokas-Lenells equation (DLFLE) is a gauged equivalent form of Fokas-Lenells equation (FLE) that addresses both spatio-temporal dispersion (STD) and nonlinear dispe…
Fokas-Lenells Derivative nonlinear Schrödinger equation its associated soliton surfaces and Gaussian curvature
Sagardeep Talukdar, Riki Dutta, Gautam Kumar Saharia +1
One of the most important tasks in mathematics and physics is to connect differential geometry and nonlinear differential equations. In the study of nonlinear optics, integrable no…